{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6a1d5812",
   "metadata": {},
   "source": [
    "# 高斯窗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "93bbd759",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#导入使用的库\n",
    "import numpy as np\n",
    "from scipy import signal,fft\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "\n",
    "#计算高斯窗的wn值和幅度响应\n",
    "N = 51 #高斯窗长度\n",
    "wn = signal.windows.gaussian(N,7) #高斯窗的wn值\n",
    "N0 = 2048;N1 = int(N0/2)\n",
    "Ha = np.abs(fft.fft(wn,N0))+1e-10;Ha = Ha/np.max(Ha)\n",
    "Ar = 20*np.log10(Ha);freq = np.linspace(0,1,N1)\n",
    "\n",
    "#绘制高斯窗\n",
    "fig,ax = plt.subplots();ax.stem(wn,basefmt=\"\")\n",
    "ax.set_title('高斯窗(a = 1/7)');ax.set_xlabel('n');ax.set_ylim([0,1.5])\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "fig.savefig('./win_gauss1.png',dpi=500)\n",
    "\n",
    "#绘制高斯窗的幅度响应\n",
    "fig,ax = plt.subplots();ax.plot(freq,Ar[:N1]);ax.grid()\n",
    "ax.set_title('高斯窗的幅度响应(a= 1/7)');ax.set_xlabel('k')\n",
    "ax.set_xlabel(r'$ \\omega / \\pi $')\n",
    "ax.set_ylabel(r'$ 20log_{10}| H ( \\omega ) | $')\n",
    "ax.set_xlim([0,1]);ax.set_ylim([-100,1])\n",
    "ax.xaxis.set_major_locator(MaxNLocator(11))\n",
    "ax.yaxis.set_major_locator(MaxNLocator(11))\n",
    "plt.rcParams['axes.unicode_minus'] = False #用来显示负号\n",
    "fig.savefig('./win_gauss2.png',dpi=500)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f2cae158",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
